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Finding the Third Proportional to 46,216.55 and 94,623.47

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Solution

The third proportional to 46,216.55 and 94,623.47 is: 193,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,216.55 : 94,623.47 = 94,623.47 : x
  2. Step 2: Convert to fraction form
    46,216.55/94,623.47 = 94,623.47/x
  3. Step 3: Cross multiply
    46,216.55x = 94,623.47 × 94,623.47
  4. Step 4: Simplify right side
    46,216.55x = 8,953,600,838.28
  5. Step 5: Solve for x
    x = 8,953,600,838.28/46,216.55
  6. Step 6: Final answer
    x = 193,731.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.